Global solutions to the initial-boundary value problem for the discrete Boltzmann equation
- 1 February 1992
- journal article
- research article
- Published by Taylor & Francis in Transport Theory and Statistical Physics
- Vol. 21 (1-2) , 39-68
- https://doi.org/10.1080/00411459208203521
Abstract
This paper studies an initial-boundary value problem for the discrete Boltzmann equation in one dimension of space. For specularly reflective boundary conditions, we prove a global existence theorem when the initial data belong to L 1((−1,1)) and have a finite entropy.Keywords
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